I guess technically "convenient" is an accurate word. Yet.... "avialable" often includes half the family walking hours each way every day to fetch water, depriving the children a chance to be educated, and adults a chance to earn income or take care of other necessities. In a lot of these regions there is a fairly high risk of being attacked on your daily water journey... I'd consider a water source that exposes me to murder an unsafe water source.
Also since you're quibbling "on the premises" its worth noting that an outside spigot/cistern/well on the property counts, as does a common water source in the courtyard of a multifamily dwelling. Depending on how the property laws, typical housing layout, and culture work in an area, that could even mean an entire village having a well - I'd have to dig into that definition more thought. That's different than "inside the home" and it's fancy "turn on the kitchen sink for a glass of water" implications.
Also since you're quibbling "on the premises" its worth noting that an outside spigot/cistern/well on the property counts, as does a common water source in the courtyard of a multifamily dwelling. Depending on how the property laws, typical housing layout, and culture work in an area, that could even mean an entire village having a well - I'd have to dig into that definition more thought. That's different than "inside the home" and it's fancy "turn on the kitchen sink for a glass of water" implications.